Spot Dynamics in a Reaction-Diffusion Model of Plant Root Hair Initiation

DOI10.1137/17M1120932zbMath1383.92048arXiv1703.02608MaRDI QIDQ4602780

Michael J. Ward, Víctor F. Breña-Medina, Daniele Avitabile

Publication date: 2 February 2018

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.02608

zbMATH Keywords

pattern formationbifurcation analysislocalized structuresnonlocal eigenvalue problemsnonhomogeneous reaction-diffusion system

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Developmental biology, pattern formation (92C15) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Plant biology (92C80)

Related Items (11)

Oscillatory translational instabilities of spot patterns in the Schnakenberg system on general 2D domains ⋮ Spots, traps, and patches: asymptotic analysis of localized solutions to some linear and nonlinear diffusive systems ⋮ The stability and slow dynamics of spot patterns in the 2D Brusselator model: the effect of open systems and heterogeneities ⋮ Analysing transitions from a Turing instability to large periodic patterns in a reaction-diffusion system ⋮ CRIME HOTSPOT EMERGENCE IN MEXICO CITY: A COMPLEXITY SCIENCE PERSPECTIVE ⋮ Local Theory for Spatio-Temporal Canards and Delayed Bifurcations ⋮ Isolating patterns in open reaction-diffusion systems ⋮ Refined stability thresholds for localized spot patterns for the Brusselator model in ⋮ Pulse Solutions for an Extended Klausmeier Model with Spatially Varying Coefficients ⋮ Weakly Nonlinear Analysis of Peanut-Shaped Deformations for Localized Spots of Singularly Perturbed Reaction-Diffusion Systems ⋮ Bistability, wave pinning and localisation in natural reaction-diffusion systems

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